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A rectangular garden has a length that is 16 meters and width of 12 meters .the owner of the garden is adding a walkway around the garden and wants the walkway tl be of uniform width. If the total area of the garden and walkway can cover 285 square meters, what is the width of the walkway ?

Jan 24, 2020

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A rectangular garden has a length that is 16 meters and width of 12 meters .the owner of the garden is adding a walkway around the garden and wants the walkway tl be of uniform width. If the total area of the garden and walkway can cover 285 square meters, what is the width of the walkway ?

Hello Guest!

$$(16+2x)\times (12+2x)=285\\ 192+32x+24x+4x^2=285\\ 4x^2+56x-93=0$$

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

$$x = {-56 \pm \sqrt{56^2+4\cdot 4\cdot93} \over 8}$$

$$x=1.5$$

The walkway is 1.5m wide.

!

Jan 24, 2020